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40463736336 = 2432167632
BaseRepresentation
bin100101101011110100…
…111001111000010000
310212102222122210011100
4211223310321320100
51130332204030321
630331102144400
72631505040532
oct455364717020
9125388583140
1040463736336
11161847a7011
127a13282100
133a7b17b66a
141d5c003852
1510bc58a326
hex96bd39e10

40463736336 has 45 divisors (see below), whose sum is σ = 113249017999. Its totient is φ = 13487107488.

The previous prime is 40463736283. The next prime is 40463736343. The reversal of 40463736336 is 63363736404.

The square root of 40463736336 is 201156.

It is a perfect power (a square), and thus also a powerful number.

40463736336 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 3 + 7 + 3 + 633 + 6 = 666.

40463736336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40463736291 and 40463736300.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2405491 + ... + 2422253.

Almost surely, 240463736336 is an apocalyptic number.

40463736336 is the 201156-th square number.

It is an amenable number.

40463736336 is an abundant number, since it is smaller than the sum of its proper divisors (72785281663).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40463736336 is an frugal number, since it uses more digits than its factorization.

40463736336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33540 (or 16768 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 45.

The spelling of 40463736336 in words is "forty billion, four hundred sixty-three million, seven hundred thirty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 16763 33526 50289 67052 100578 134104 150867 201156 268208 301734 402312 603468 804624 1206936 2413872 280998169 561996338 842994507 1123992676 1685989014 2247985352 2528983521 3371978028 4495970704 5057967042 6743956056 10115934084 13487912112 20231868168 40463736336